Answer:
40 cm
Step-by-step explanation:
x= length of each side in cm
Pentagon= 5 sides
Pentagon Perimeter= 5x substitute the perimeter
200= 5x
divide both sides by 5
40cm= x
ANSWER: The length of each side of the pentagon is 40cm.
and
are the <em>farthest</em> from the origin and
is the <em>closest</em> from the origin.
Let be a curve of the form
. The distance with respect to origin is found by using the following Pythagorean identity:
(1)
Where
is the square distance function.
We can modify (1) as following:
![r = [27-3\cdot (y-2)^{2}]+y^{2}](https://tex.z-dn.net/?f=r%20%3D%20%5B27-3%5Ccdot%20%28y-2%29%5E%7B2%7D%5D%2By%5E%7B2%7D)


(1b)
Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:
First derivative test


Second derivative test

The y-component represents a maximum.
Now we graph the function with the ressource of a graphing tool, we find the following points:
Farthest points:
,
.
Closest points:
.
and
are the <em>farthest</em> from the origin and
is the <em>closest</em> from the origin.
To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943
Answer:
-4m-2 Hope I helped
Step-by-step explanation: Remove parentheses.
4m−2−8m
Subtract 8m
from 4m
.
−4m−2
Answer:
97 meters
Step-by-step explanation:
The area of a rectangle is its length multiplied by its width. Substitute the known values into this equation and solve for the length, l:
a = lw
8342 = 86l
l = 97